Table X-P
Internal Similitude Centers.
Points available at the Kimberling's Encyclopedia ETC.
The ETC version: The 10000 points version of 2016.
The "Discoverer" database version: October 2013.
Last update: 2016-05-15

      Kimberling Notation     Role  
  1     X(1) Incenter     Internal Center of Similitude of the Circumcircle of Triangle ABC and the Circumcircle of the Outer Yff Triangle  
  2     X(1) Incenter     Internal Center of Similitude of the Circumcircle of Triangle ABC and the Excentral Circle of the Outer Yff Triangle  
  3     X(1) Incenter     Internal Center of Similitude of the Incircle of Triangle ABC and the Incircle of the Outer Yff Triangle  
  4     X(1) Incenter     Internal Center of Similitude of the Incircle of Triangle ABC and the Adams Circle of the Outer Yff Triangle  
  5     X(1) Incenter     Internal Center of Similitude of the Incircle of Triangle ABC and the Conway Circle of the Outer Yff Triangle  
  6     X(1) Incenter     Internal Center of Similitude of the Incentral Circle of Triangle ABC and the Incentral Circle of the Outer Yff Triangle  
  7     X(1) Incenter     Internal Center of Similitude of the Nine-Point Circle of Triangle ABC and the Nine-Point Circle of the Outer Yff Triangle  
  8     X(1) Incenter     Internal Center of Similitude of the Symmedial Circle of Triangle ABC and the Symmedial Circle of the Outer Yff Triangle  
  9     X(1) Incenter     Internal Center of Similitude of the Extouch Circle of Triangle ABC and the Extouch Circle of the Outer Yff Triangle  
  10     X(1) Incenter     Internal Center of Similitude of the Excentral Circle of Triangle ABC and the Circumcircle of the Outer Yff Triangle  
  11     X(1) Incenter     Internal Center of Similitude of the Excentral Circle of Triangle ABC and the Excentral Circle of the Outer Yff Triangle  
  12     X(1) Incenter     Internal Center of Similitude of the Antimedial Circle of Triangle ABC and the Antimedial Circle of the Outer Yff Triangle  
  13     X(1) Incenter     Internal Center of Similitude of the Tangential Circle of Triangle ABC and the Tangential Circle of the Outer Yff Triangle  
  14     X(1) Incenter     Internal Center of Similitude of the Spieker Circle of Triangle ABC and the Spieker Circle of the Outer Yff Triangle  
  15     X(1) Incenter     Internal Center of Similitude of the Stevanovic Circle of Triangle ABC and the Stevanovic Circle of the Outer Yff Triangle  
  16     X(1) Incenter     Internal Center of Similitude of the Sine-Triple-Angle Circle of Triangle ABC and the Sine-Triple-Angle Circle of the Outer Yff Triangle  
  17     X(1) Incenter     Internal Center of Similitude of the Adams Circle of Triangle ABC and the Incircle of the Outer Yff Triangle  
  18     X(1) Incenter     Internal Center of Similitude of the Adams Circle of Triangle ABC and the Adams Circle of the Outer Yff Triangle  
  19     X(1) Incenter     Internal Center of Similitude of the Adams Circle of Triangle ABC and the Conway Circle of the Outer Yff Triangle  
  20     X(1) Incenter     Internal Center of Similitude of the Conway Circle of Triangle ABC and the Incircle of the Outer Yff Triangle  
  21     X(1) Incenter     Internal Center of Similitude of the Conway Circle of Triangle ABC and the Adams Circle of the Outer Yff Triangle  
  22     X(1) Incenter     Internal Center of Similitude of the Conway Circle of Triangle ABC and the Conway Circle of the Outer Yff Triangle  
  23     X(1) Incenter     Internal Center of Similitude of the Brocard Circle of Triangle ABC and the Brocard Circle of the Outer Yff Triangle  
  24     X(1) Incenter     Internal Center of Similitude of the Second Brocard Circle of Triangle ABC and the Second Brocard Circle of the Outer Yff Triangle  
  25     X(1) Incenter     Internal Center of Similitude of the Orthocentroidal Circle of Triangle ABC and the Orthocentroidal Circle of the Outer Yff Triangle  
  26     X(1) Incenter     Internal Center of Similitude of the Moses Circle of Triangle ABC and the Moses Circle of the Outer Yff Triangle  
  27     X(1) Incenter     Internal Center of Similitude of the Half-Moses Circle of Triangle ABC and the Half-Moses Circle of the Outer Yff Triangle  
  28     X(1) Incenter     Internal Center of Similitude of the Parry Circle of Triangle ABC and the Parry Circle of the Outer Yff Triangle  
  29     X(1) Incenter     Internal Center of Similitude of the Lester Circle of Triangle ABC and the Lester Circle of the Outer Yff Triangle  
  30     X(1) Incenter     Internal Center of Similitude of the Inner Johnson-Yff Circle of Triangle ABC and the Inner Johnson-Yff Circle of the Outer Yff Triangle  
  31     X(1) Incenter     Internal Center of Similitude of the Outer Johnson-Yff Circle of Triangle ABC and the Outer Johnson-Yff Circle of the Outer Yff Triangle  
  32     X(1) Incenter     Internal Center of Similitude of the Lemoine Circle of Triangle ABC and the Lemoine Circle of the Outer Yff Triangle  
  33     X(1) Incenter     Internal Center of Similitude of the Gallatly Circle of Triangle ABC and the Gallatly Circle of the Outer Yff Triangle  
  34     X(1) Incenter     Internal Center of Similitude of the Kenmotu Circle of Triangle ABC and the Kenmotu Circle of the Outer Yff Triangle  
  35     X(1) Incenter     Internal Center of Similitude of the Cosine Circle of Triangle ABC and the Cosine Circle of the Outer Yff Triangle  
  36     X(1) Incenter     Internal Center of Similitude of the Apollonius Circle of Triangle ABC and the Apollonius Circle of the Outer Yff Triangle  
  37     X(1) Incenter     Internal Center of Similitude of the Taylor Circle of Triangle ABC and the Taylor Circle of the Outer Yff Triangle  
  38     X(474)     Internal Center of Similitude of the Spieker Circle of Triangle ABC and the Circumcircle of the Outer Yff Triangle  
  39     X(496) Harmonic Conjugate of the Johnson Midpoint     Internal Center of Similitude of the Outer Johnson-Yff Circle of Triangle ABC and the Circumcircle of the Outer Yff Triangle  
  40     X(497)     Internal Center of Similitude of the Circumcircle of Triangle ABC and the Nine-Point Circle of the Outer Yff Triangle  
  41     X(498)     Internal Center of Similitude of the Nine-Point Circle of Triangle ABC and the Antimedial Circle of the Outer Yff Triangle  
  42     X(999)     Internal Center of Similitude of the Incircle of Triangle ABC and the Circumcircle of the Outer Yff Triangle  
  43     X(1478) Center of the Inner Johnson-Yff Circle     Internal Center of Similitude of the Nine-Point Circle of Triangle ABC and the Circumcircle of the Outer Yff Triangle  
  44     X(1479) Center of the Outer Johnson-Yff Circle     Internal Center of Similitude of the Outer Johnson-Yff Circle of Triangle ABC and the Antimedial Circle of the Outer Yff Triangle  
  45     X(1770)     Internal Center of Similitude of the Antimedial Circle of Triangle ABC and the Excentral Circle of the Outer Yff Triangle  
  46     X(2242)     Internal Center of Similitude of the Moses Circle of Triangle ABC and the Circumcircle of the Outer Yff Triangle  
  47     X(3304)     Internal Center of Similitude of the Inner Johnson-Yff Circle of Triangle ABC and the Nine-Point Circle of the Outer Yff Triangle  
  48     X(3338)     Internal Center of Similitude of the Incircle of Triangle ABC and the Excentral Circle of the Outer Yff Triangle  
  49     X(3816)     Internal Center of Similitude of the Spieker Circle of Triangle ABC and the Nine-Point Circle of the Outer Yff Triangle  
  50     X(4293)     Internal Center of Similitude of the Antimedial Circle of Triangle ABC and the Circumcircle of the Outer Yff Triangle  
  51     X(4302)     Internal Center of Similitude of the Circumcircle of Triangle ABC and the Antimedial Circle of the Outer Yff Triangle  
  52     X(6502)     Internal Center of Similitude of the Cosine Circle of Triangle ABC and the Circumcircle of the Outer Yff Triangle  
  53     X(8071)     Internal Center of Similitude of the Nine-Point Circle of Triangle ABC and the Inner Johnson-Yff Circle of the Outer Yff Triangle  
  54     X(9598)     Internal Center of Similitude of the Moses Circle of Triangle ABC and the Antimedial Circle of the Outer Yff Triangle